An auto mechanic earns $498.75 in 35 hours during the week. His pay is $2.50 more per hour on weekends. If he works 6 hours on the weekend in addition to 35 hours during the week, how much does he earn?

There is insufficient information so the joint probability mass function of X and Y.

given that

there are three bowls they are a red bowl , a green bowl and a blue bowl  are on the kitchen table

alan places one egg into a randomly selected bowl.

X = # of eggs placed into the red bowl

Y = # of empty bowls at the end of the experiment.

the joint probability mass function of X and Y

1. Not sufficient

R=5

let us consider when G = 2 , B = 1 => P(G) = 2/8

when G=1, B=2 => P(G) = 1/8

2. Not Sufficient

P(B) = 1/3 = x/3x

But this doesn't tell us anything about B or total because P(B) = 1/3 , but it could also be 2/6 or 3/9 so on..

So we can have different B . Thus we can have different G combinations.

Together - Not Sufficient

P(B) = x/(3x) , R = 5

P(G) = 1- P( not G )

= 1- P(R or B)

But we cannot calculate this with out knowing P(R) and P(B).

we cannot solve this problem because there is no proper information is given.

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Answer:

14x+6= 10+14x

14x-14x= 10-6

x= 4

Step-by-step explanation:

x= 4

Answer: The answer is $150.00

I hope this helps

Step-by-step explanation:

Answer:

That means that each water is $2.50, das crazy tho

Step-by-step explanation:

A) \($x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i$\)

B) \($y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i$\)

c) \($y-z=(\sqrt{3}-1)-\sqrt{3} i$\)

are the value of given algebraic expression.

The numbers which can be expressed in the form of \($x+iy\) where, \($x, y$\) are real numbers and 'i' is an imaginary number called "iota".

here \($\mathrm{i}$\) is iota whose value is: \($\mathrm{i}=\sqrt{-1}\)

Given .

\($$\begin{aligned}& x=1+\sqrt{3}+2 i \\& y=\sqrt{3}-(1+\sqrt{3}) i \\& z=1-i\end{aligned}$$\)

upon solving two complex number we solve coefficient of iota together and real number together.

A) to find \($(x+y)$\)

\($$\begin{aligned}& x+y=(1+\sqrt{3}+2 i)+(\sqrt{3}-i-\sqrt{3} i) \\& x+y=(1+2 \sqrt{3})+(2-1-\sqrt{3}) i \\& x+y=(1+2 \sqrt{3})+(1-\sqrt{3}) i\end{aligned}\)

B) \($\mathbf{y}+\mathbf{z}$\)

\($$\begin{aligned}& y+z=(\sqrt{3}-i-\sqrt{3} i)+(1-i) \\& y+z=(\sqrt{3}+1)-(2+\sqrt{3}) i\end{aligned}\)

c) \($\mathbf{y}-\mathbf{z}$\)

\($$\begin{aligned}& y-z=(\sqrt{3}-i-\sqrt{3} i)-(1-i) \\& y-z=(\sqrt{3}-1)-\sqrt{3} i\end{aligned}\)

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Answer:

Step-by-step explanation:

Answer:

\( y = - 7x + 3 \\ for \: y - intercept, \: x = 0 \\ y = ( - 7 \times 0) + 3 \\ y = 3 \\ y - intercept \: is \: (0,3) \\ for \: x - intercept, \: y = 0 \\ 0 = - 7x + 3 \\ - 7x = - 3 \\ x = \frac{3}{7} \\ x - intercept \: is \: ( \frac{3}{7} ,0)\)

Answer:

y = ( - 7 ×0) + 3

y = 3

y - intercept is (0,3)

0 = - 7x + 3

- 7x = - 3

x = 3/7

x - intercept is (3/7 ,0)

Answer:

Value of x = 11 ° , ∠B = 108° ,∠C = 36° ,∠D = 36°

Step-by-step explanation:

Given :

In ΔBCD , BC = BD And ∠B= (13x-35)° , ∠C= (5x-19)° ,∠D=(2x+14)°

To Find :

value of x and ∠D , ∠B and ∠C

Solution:

∵ BC=BD , So ∠C = ∠D

Therefore 5x-19 = 2x+14

3x = 33 , ∴ x=11°

So, ∠B = (13×11) - 35 = 108°

∠C = (5×11)-19 = 36°

∠D= (2×11) +14 =36°

Solution:

The distance D, travelled is;

Where;

The total gas that would be used for the trip is 76.55gallon.

But, the cost of gas is about $3.42 per gallon.

Hence, the approximate driving cost of the trip would be;

-12v+6y+18

you multiply everything by -3, so -3×4v=-12v
-3×(-2y)=6y, since negative × negative=positive
-3×(-6)=18

i hope this helps :)

Answer:

151+8x>_367

Step-by-step explanation:

x=sets of glasses.

151+8x>_367

          ^is greater than equal to i dont

have a sign for that.

Answer:

e-5=2f

take '-5' to the other side where '2f' is

e=2f+5

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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========================================================

Explanation:

A square has all four sides that are the same length. So all four sides are 12 cm

area = side*side = 12*12 = 144 cm^2

Or you could say

area = (side)^2 = (12)^2 = 144 cm^2

Squaring a number is the same as multiplying it by itself. Hence the name "square" refers to a side length pairing up with its corresponding area value.

---------

Side note: The perimeter is 4*(side) = 4*12 = 48 cm. It's possible that choice B is put in there as a trick answer.

B

If you do 4x12 you will end up with 48

answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The correct option is C, the system of inequalities is:

y < x - 3

y ≤ -(2/3)*x

We can see a system of linear inequalities.

We can see that in both cases, the region shaded is below the line, and the line with negative slope is solid, while the line with positive slope is dashed.

Then the general form of this system is:

y < line with positive slope.

y ≤ line with negative slope.

From the options, the only one with this form is option C.

y < x - 3

y ≤ -(2/3)*x

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Answer:

Step-by-step explanation:

The histogram shows the distribution of the newly planted trees

The dataset is given as:

3.2, 4.3, 3.5, 5.4, 3.7, 5.5, 6.2, 3.1, 6.8, 7.1, 4.8, 6.5, 4.9, 5.3, 5.9

Sort the data elements

3.1, 3.2, 3.5, 3.7, 4.3, 4.8, 4.9, 5.3, 5.4, 5.5, 5.9, 6.2, 6.5, 6.8, 7.1

Calculate the range

Range = Highest - Least

This gives

Range = 7.1 - 3.1

Range = 4

Divide by 4 to calculate the class width

Width = 4/4

Width = 1

So, the classes and the frequencies are:

Class               Frequency

3.1 - 4.0              4

4.1 - 5.0              3

5.1 - 6.0             4

6.1 - 7.0              3

7.1 - 8.0              1

See attachment for the histogram

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Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

The rate is 5 dollars per student.

Step-by-step explanation:

The rate per student can be found with \(\frac{dollars}{student}\):

\(\frac{150dollars}{30student}=5\frac{dollars}{student}\\\\\frac{350dollars}{70student}=5\frac{dollars}{student}\)

The rate is 5 dollars per student.

Answer: 919 seconds in 15 minutes and 19 seconds

Step-by-step explanation:

60 x 15 = 900

900 + 19 = 919

So, y is a system two distinct exponential functions.

The function on the bottom is a cubic function with a y-intercept of -3, and the full dot means that point is included in the domain.

y = x^3 - 3, x ≤ 2

The other function is a quadratic function with a currently unknown y-intercept. The hollow dot on point 2 means that the point is not included in the domain of the function.

y = x^2 + b, x > 2

So, given that there is only one option that matches this, even with the unknown b value, we know:

\(y = \left \{ {{x^3 - 3, x\leq 2} \atop {x^2 + 6, x > 2}} \right.\)

So the answer is C.

The measure οf angle 8 is 30 degrees.

An interiοr angle is a shape's internal angle. The clοsed shape with sides and vertices is a pοlygοn.

If lines l and m are parallel, then alternate interiοr angles 3 and 8 are cοngruent.

Sο if angle 3 measures 30 degrees, then angle 8 alsο measures 30 degrees.

Therefοre, the measure οf angle 8 is 30 degrees.

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Answer:

b 2,557.51

Step-by-step explanation:

Answer: The answer is -4.37u-11

Step-by-step explanation: Just do math.

The sketch for slope is attached below.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Point               Slopes

(1, 1)                     (a) 3

_                        (b) -3

_                        (c) -5/2

_                         (d) Undefined

a) Now, using slope intercept form

y - 1= 3 (x-1)

y- 1= 3x- 3

y= 3x - 2

(b) Equation of a line has a slope -3 is given by

y - 1= (-3) (x-1)

y-1 = 3- 3x

y = -3x + 4

(c) Equation of a line has a slope -5/2 is given by

y - 1= (-5/2) (x-1)

y-1 = -5/2x + 5/2

y= -5/2x + 7/2

(d) The line parallel to y axis and passes through given point : x=1

"undefined" means the line is vertical.

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The Answer Is:

$72.00

Answers:

38% of 15 = 5.7

29% of 75 = 21.75

4% of 220 = 8.8

No idea what the 1% or 10% method is either. But these answers would be better then to leave the questions blank.